1. EX.NO:01 ANALYSIS DESCRIPTIVE MEASURES ON
DATE:08.03.10
STUDENTS MARKS
The marks of 12 students in mathematics are as follows:
Students 1 2 3 4 5 6 7 8 9 10 11 12
Marks 45 67 78 98 100 72 91 34 94 61 82 92
CALCULATE THE FOLLOWING:
1.CENTRL TENDENCY
MEAN
MEDIAN
MODE
SUM
2. DISPERSION
STANDARD DEVIATION
VARIANCE
RANGE
MINIMUM
MAXIMUM
S.E.MEAN
3.DISTRIBUTION
SKEWNESS
KURTOSIS
1

2. AIM:
To analysis the descriptive measures of students marks using SPSS
ALGORITHM:
STEP1: Open SPSS software 13.0
STEP2: Click and select „Data view‟
STEP3: Type the marks of the students in the marks column
STEP4: Click on <Analyze><Descriptive statistics><Frequencies>
STEP5: Select the marks and click on the scrollbar
STEP6: Click on the “Statistics bar” and select all central tendency and
dispersion, distribution boxes then click on continue and “ok
STEP7: Solve the solution tables and Generate reports.
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3. OUTPUT:
3

4. 4

5. RESULT:
Thus, the descriptive measures like central tendency, dispersion and
distribution of student‟s marks are analyzed and output is verified using SPSS 13.0.
5

6. EX.NO:02 DIAGRAMMATIC ANALYSIS ON
DATE:08.03.10
STUDENTS MARKS
The Quiz final marks are as follows:
Name Suji Ravi Bini Devi Sumi Siji Vani Gayana Deepa Saji Suthi Cibi
Marks 45 67 78 98 100 72 91 34 94 61 82 92
FIND THE FOLLOWING:
1. Frequencies
2. Bar graph
3. pichart
4. histogram
5. Create a title for the above
AIM:
To analysis students marks diagrammatically using SPSS 13.0
ALGORITHM:
STEP1: Open SPSS software 13.0
STEP2: Click and select „Data view‟
STEP3: Type the final marks of the students in the marks column
STEP4: Click on <Analyze><Descriptive statistics><Frequencies>
STEP5: Select the marks and click on the scrollbar
STEP6: Click on the “Charts “and select bar graph, pichart, histogram then click
On continue and “ok”
STEP7: Type the name of the charts and Generate reports.
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7. OUTPUT:
7

8. BAR CHART:
8

9. PICHART:
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10. FINAL QUIZ MARKS DETAILS:
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11. RESULT:
Thus, students marks has diagrammatically been analyzed and output is verified
using SPSS 13.3.
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12. EX.NO:03 HYPOTHESIS TESTING ON SALES AND
DATE:15.3.10 EXPENDITURE DATA(T-TEST)
The Following data have been taken from the marketing company
sales 50 55 67 74 80 85 89 95 98 99 100 110
Expenditure 45 67 78 98 100 72 91 34 94 61 86 89
From the above data find out:
1.Means
2.One sample T- test
3.One way ANOVA
AIM:
To analysis sales and expenditure using T-Test
ALGORITHM:
STEP1: Open SPSS software 13.0
STEP2: Click and select „Data view‟
STEP3: Type the sales and expenditure of the company
STEP4: Click on <Analyze><compare means><one sample T test>
<One-Way ANOVA>
STEP5: Select the sales and click on the scrollbar
STEP6: Select the Expenditure and click on the scrollbar and click “ok”
STEP7: solve the solution tables and Generate reports.
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13. OUTPUT:
13

14. 14

15. 15

16. 16

17. RESULT:
Thus, Sales and Expenditure are analyzed by T – test and output is
Verified using SPSS 13.0.
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18. EX.NO:04 CHI SQUARE TESTING ON PERFORMANCE IN
DATE:15.3.10 STRESSFULL SITUATION
The Following data have been taken the test of mental performance in stress full situation
for 10 boys and10 girls
Boys 2 2 4 1 4 3 0 2 7 5
Girls 4 4 6 0 6 5 2 3 6 4
Analysis the above data using chi square test
AIM:
To analysis the performance in stress full situation using chi-square test
ALGORITHM:
STEP1: Open SPSS software 13.0
STEP2: Click and select „Data view‟
STEP3: Type the boys and girls mental performance
STEP4: Click on <Analyze><non parametric test><chi square test>
STEP5: Select the boys and click on the scrollbar
STEP6: Select the girls and click on the scrollbar and click “ok”
STEP7: solve the solution tables and Generate reports
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19. OUTPUT:
19

20. RESULT:
Thus, the performance in stress full situation by using Chi-Square test is
analyzed.
20

21. EX.NO:05 FINDING THE CORRELATION
DATE:23.3.10
COEFFICIENT
Calculate the Karl Pearson correlation coefficient for the following data
x 28 41 40 38 35 33 40 32 36 33
y 23 34 33 34 30 26 28 31 36 38
Aim:
To find the correlation coefficient using SPSS
ALGORITHM:
STEP1: Open SPSS software 13.0
STEP2: Click and select „Data view‟
STEP3: Type the X and Y values
STEP4: Click on <Analyze><correlate><Bivarite><Pearson>
STEP5: Select the x and y and click on the scrollbar
STEP6: Click “ok” to solve the solution tables
STEP7: Generate reports
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22. OUTPUT:
22

23. RESULT:
Thus, correlation coefficient is found out and verified the output using SPSS 13.0
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24. EX.NO:06 FINDING THE REGRESSION
DATE:23.3.10
Calculate the regression for the following data
X 1 5 3 2 1 1 7 3
Y 6 1 0 0 1 2 1 3
Aim:
To find the Regression using SPSS 13.0
ALGORITHM:
STEP1: Open spss Package 13.0
STEP2: Click and select „Data view‟
STEP3: Type the X and Y values
STEP4: Click on <Analyze><regression><linear>
STEP5: Select the x click on the scrollbar of dependent
STEP6: Select the y click on the scrollbar of independent
STEP7: click “ok” to solve the solution tables Generate reports
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25. OUTPUT:
25

26. RESULT:
Thus Regression is found out and output is verified using SPSS 13.0
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27. EX.NO:07 LINEAR PROGRAMMING PROBLEM
DATE:30.3.10
Problem :
Max Z=15x1+6x2+9x3+2x4.
Subject to the constraints,
2x1+x2+5x3+6x4≤20
3x1+x2+3x3+25x4≤24
7x1+x4≤70.
x1,x2,x3,x4≥0
Aim:
To solve the Linear Programming Problem using the TORA.
ALGORITHM:
STEP1: Open the TORA software
STEP2: Choose the type of problem to be solved
STEP3: Enter the problem
STEP4: Save the problem using F8key
STEP5: View the given data to ensure the correctness of given problem
STEP6: Solve the problem either by automated procedure or user guided
Procedure.
STEP7: view the solution and print the solution
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28. OUTPUT:
28

29. 29

30. 30

31. 31

32. RESULT:
Thus, Linear Programming Problem is solved and output is
verified using TORA software.
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33. EX.NO:08 TRANSPORTATION PROBLEM
DATE:07.4.10
Problem:
A company has factories at three different bases S1, S2, S3. Which supply item to
warehouse D1, D2, D3 monthly factory capacity are 140,160,120 respectively.
Monthly warehouse requirements are 100, 160, and 70 respectively. Unit shipping
cost are given (rupees) in following details.
Plant D1 D2 D3 D4 Supply
S1 16 19 12 0 140
S2 12 13 19 0 160
S3 14 28 8 0 120
Demand 100 150 70 100 420
Aim:
To solve the Transportation Problem using the TORA software.
ALGORITHM:
STEP1: Open the TORA software
STEP2: Choose the type of problem to be solved
STEP3: Enter the problem
STEP4: Save the problem using F8key
STEP5: View the given data to ensure the correctness of given problem
33

34. STEP6: Solve the problem either by automated procedure or user guided
Procedure
STEP7: view the solution and print the solution
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35. OUTPUT:
35

36. 36

37. RESULT:
Thus, the Transportation Problem is solved and output is verified
using TORA software.
37

38. EX.NO:09 QUEUING PROBLEM
DATE:13.5.10
Problem:
A television repairman finds that the time spent on his jobs has an
exponential distribution with a mean of 30 minutes. If he repairs sets in the order in
which they came in, and if the arrival of sets follows a Poisson distribution
approximately with an average rate of 10 per 8-hour day, what is the repairman‟s
expected idle time each day? How many jobs are ahead of the average set just
brought in?
Aim:
To solve the Queuing Problem using the TORA software.
Steps to be followed:
STEP1: Open the TORA software
STEP2: Choose the type of problem to be solved
STEP3: Enter the problem
STEP4: Save the problem using F8 key
STEP5: View the given data to ensure the correctness of given data
STEP6: Solve the problem either by automated procedure or user guided
Procedure
STEP7: view the solution and print the solution
38

39. OUTPUT:
39

40. RESULT:
Thus the Queuing problem is solved and output is verified using
TORA software.
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41. EX.NO:10 INTEGER LINEAR PROGRAMMING
DATE19.5.10
Problem:
Solve the following integer linear programming using Gomory‟s cutting
plane algorithm.
Max Z=x1+2x2.
Subject to the constraints,
2x2 ≤ 7
x1+x2 ≥ 7
2x1 ≥ 11
x1,x2 ≥ 0
Aim:
To solve the Integer Linear Programming Problem using the TORA software.
ALGORITHM:
STEP1: Open the TORA software
STEP2: Choose the type of problem to be solved
STEP3: Enter the problem
STEP4: Save the problem using F8 key
STEP5: View the given data to ensure the correctness of given problem
STEP6: Solve the problem either by automated procedure or user guided
Procedure
STEP7: view the solution and print the solution
41

42. OUTPUT:
42

43. RESULT:
Thus, the Integer Linear Programming Problem is solved and
output is verified using TORA software.
43

44. EX.NO:11 NETWORK MODELS
DATE:20.5.10
Problem:
Consider the details of a distance network as shown below.
Arc Distance
1-2 3
1-3 8
1-4 10
2-3 4
2-4 7
3-4 2
3-5 8
4-5 6
Apply Floyd‟s algorithm and obtain the final matrices using TORA.
Aim:
To solve the Network models Programming Problem using the TORA
Software.
ALGORITHM:
STEP1: Open the TORA software
STEP2: Choose the type of problem to be solved
STEP3: Enter the problem
STEP4: Save the problem using F8 key
STEP5: View the given data to ensure the correctness of given problem
STEP6: Solve the problem either by automated procedure or user guided
Procedure
STEP7: view the solution and print the solution
44

45. OUTPUT:
45

46. 46

47. RESULT:
Thus, the Integer Linear Programming Problem is solved and
output is verified using TORA software.
47